Question

How do I show that
f(y) = (k(theta^k))/y^(k+1), y >= theta
is a valid probability density function?

Answer 1

is its sum of all probabilities equal to unity?

Answer 2

if for all y,
\[\int\limits f(y)dy=1\]
then it will be a probability density function

Answer 3

so if
\[\int\limits_{-\infty}^{\infty}f(y)dy=\int\limits_{-\infty}^{\infty}k \theta^k/y^{k+1}dy=1\]
then it will be a probability density function

Answer 4

find k such a that anonymoustwo44's equation's are true